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Finding the Fourth Proportional to 337.32, 506.20 and 144.95

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Solution

The fourth proportional to 337.32, 506.20 and 144.95 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.32 : 506.20 = 144.95 : x
  2. Step 2: Convert to fraction form
    337.32/506.20 = 144.95/x
  3. Step 3: Cross multiply
    337.32x = 506.20 × 144.95
  4. Step 4: Simplify right side
    337.32x = 73,372.06
  5. Step 5: Solve for x
    x = 73,372.06/337.32
  6. Step 6: Final answer
    x = 217.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.